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Verified answer
1.
5x - 5 = 15
5x = 15 + 5
5x = 20
5x/5 = 20/5
x = 4
Check:
5x - 5 = 15
5(4) - 5 = 15
20 - 5 = 15
15 = 15
2.
24x - 7x = 34
17x = 34
17x/17 = 34/17
x = 2
Check:
24x - 7x = 34
24(2) - 7(2) = 34
48 - 14 = 34
34 = 34
3.
3x + 7 = 4x - 2
3x - 4x = -2 - 7
-x = -9
-x/-1 = -9/-1
x = 9
Check:
3x + 7 = 4x - 2
3(9) + 7 = 4(9) - 2
27 + 7 = 36 - 2
34 = 34
4.
3x + 6 = 4x - 2 + 3x
3x - 4x - 3x = -2 - 6
-4x = -8
-4x/-4 = -8/-4
x = 2
Check:
3x + 6 = 4x - 2 + 3x
3(2) + 6 = 4(2) - 2 + 3(2)
6 + 6 = 8 - 2 + 6
12 = 12
5.
2x + 24 = 3x + 4
2x - 3x = 4 - 24
-x = -20
-x/-1 = -20/-1
x = 20
Check:
2x + 24 = 3x + 4
2(20) + 24 = 3(20) + 4
40 + 24 = 60 + 4
64 = 64